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1157171103 = 3511974463
BaseRepresentation
bin100010011111001…
…0000011110011111
32222122102101100000
41010332100132133
54332213433403
6310454105343
740450535454
oct10476203637
92878371300
101157171103
11544213860
1228364b253
1315597a13a
14ad98182b
156b8ca7a3
hex44f9079f

1157171103 has 48 divisors (see below), whose sum is σ = 1910877696. Its totient is φ = 693930240.

The previous prime is 1157171087. The next prime is 1157171111. The reversal of 1157171103 is 3011717511.

1157171103 is a `hidden beast` number, since 11 + 571 + 71 + 10 + 3 = 666.

It is not a de Polignac number, because 1157171103 - 24 = 1157171087 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157171153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257050 + ... + 261512.

It is an arithmetic number, because the mean of its divisors is an integer number (39809952).

Almost surely, 21157171103 is an apocalyptic number.

1157171103 is a deficient number, since it is larger than the sum of its proper divisors (753706593).

1157171103 is an equidigital number, since it uses as much as digits as its factorization.

1157171103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4586 (or 4574 counting only the distinct ones).

The product of its (nonzero) digits is 735, while the sum is 27.

The square root of 1157171103 is about 34017.2177433723. The cubic root of 1157171103 is about 1049.8627494070.

Adding to 1157171103 its reverse (3011717511), we get a palindrome (4168888614).

The spelling of 1157171103 in words is "one billion, one hundred fifty-seven million, one hundred seventy-one thousand, one hundred three".

Divisors: 1 3 9 11 27 33 81 97 99 243 291 297 873 891 1067 2619 2673 3201 4463 7857 9603 13389 23571 28809 40167 49093 86427 120501 147279 259281 361503 432911 441837 1084509 1298733 1325511 3896199 3976533 4762021 11688597 11929599 14286063 35065791 42858189 105197373 128574567 385723701 1157171103